Browsing by Subject "hypothesis testing"

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    Constraints and invariance in target detection
    (2000) Nicolls, Frederick
    The concept of invariance in hypothesis testing is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance condition is used to eliminate the target location parameter, and a uniformly most powerful test developed for the reduced data. The test is compared with conventional solutions, and shown to be more powerfu. The difference however is slight, justifying the simpler formulations. This conclusion continues to hold even when additional unknown noise parameters are introduced.
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    Teaching fundamental concepts in statistical science
    (2011) Barr, Graham; Scott, Leanne
    These modules are essentially crafted as teaching tools and the experience of first year students would be of the lecturer leading the students through the simulations at an appropriate pace, allowing plenty of opportunity for discussion and clarification. Lab based tutorials also support this process. A suite of VBA simulation programmes used at first year level containing a number of tools for teaching introductory statistics at university level. Note that these are written for MS Excel 2007 (or later versions). The modules roughly follow chapters in the first year statistics textbook, Introstat (LG Underhill) and essentially support and supplement that book. They are to a significant extent self explanatory for those with some knowledge of statistics and simulation.